Time to catch up on our blackboard quotes.
Learning without thought is labor lost;
thought without learning is perilous.
I have no particular talent, I am only inquisitive.
I advise my students to listen carefully the moment they decide to take no more mathematics courses. They might be able to hear the sound of closing doors.
— James Caballero
A mathematician’s work is mostly a tangle of guesswork, analogy, wishful thinking, and frustration. And proof, far from being the core of discovery, is more often than not a way of making sure that our minds are not playing tricks.
And one of my favorite Grooks:
prove their worth
by hitting back.